Finding the Third Proportional to 127,965 and 275,368.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,965 : 275,368.50 = 275,368.50 : x
2. Step 2: Convert to fraction form
   127,965/275,368.50 = 275,368.50/x
3. Step 3: Cross multiply
   127,965x = 275,368.50 × 275,368.50
4. Step 4: Simplify right side
   127,965x = 75,827,810,792.25
5. Step 5: Solve for x
   x = 75,827,810,792.25/127,965
6. Step 6: Final answer
   x = 592,566.80